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Finding the Third Proportional to 500,764 and 1,080,168

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Solution

The third proportional to 500,764 and 1,080,168 is: 2,329,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,764 : 1,080,168 = 1,080,168 : x
  2. Step 2: Convert to fraction form
    500,764/1,080,168 = 1,080,168/x
  3. Step 3: Cross multiply
    500,764x = 1,080,168 × 1,080,168
  4. Step 4: Simplify right side
    500,764x = 1,166,762,908,224
  5. Step 5: Solve for x
    x = 1,166,762,908,224/500,764
  6. Step 6: Final answer
    x = 2,329,965.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.